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SUMMARY:Universal central extensions in peri-abelian categories - Tim Van 
 der Linden\, Université catholique de Louvain\, Belgium
DTSTART:20130205T141500Z
DTEND:20130205T150000Z
UID:TALK42448@talks.cam.ac.uk
CONTACT:Julia Goedecke
DESCRIPTION:(joint work with James Gray)\n\nWe clarify the relation betwee
 n Bourn's notion of peri-abelian category on the one hand and coincidence 
 of the Smith\, Huq and Higgins commutators on the other. Next\, peri-abeli
 an categories are shown to form a good context for the general theory of u
 niversal central extensions: all peri-abelian categories satisfy the condi
 tion (UCE) considered in joint work with Casas\; and via a result of Cigol
 i\, all categories of interest in Orzech's sense are examples.
LOCATION:MR5\, Centre for Mathematical Sciences
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